Wiardgroup

It is one thing to have the intuition that audio can be described by a terrain oscillator 
tracing overlapping projections of higher dimensional objects on a plane. It is another 
thing to build it in analog. Or prove it or calculate it. It does relate sound back to 
geometry.

Still, geometry is a lot of fun to study. If someone wants to lend me a copy of the original 
folio of J.F. Nicerons "Thaumaturgus Opticus" (1649) it would help (pretty seminal on 
anamorphic projection). Oops, Vatican has it...

"Projection" is a way of expressing higher dimension objects in a lower dimension. A 
geometric analog of mixing, as an example because you can not generate a full original 
from only information contained in shadows. (a projection is the shadow of a higher 
dimension geometrical object which is veiwable in a lower dimension).

I'll have to settle for the works of Claude Bragdon such as this:

http://www.amazon.com/gp/product/048627117X/
ref=sr_11_1/104-0050071-2953569?%5Fencoding=UTF8

I was so excited, then I found out he wrote the intro to the "Tertium Organum".
Up here in Wisconsin you know we have Lawsonomy. Also very geometric, "The Law of the 
Zig-Zag and Swirl" for example.

Apparently, studying geometry above 3 dimensions makes you start a religion, so begin 
tithing now and beat the rush!

Number Theory may be the Grande Dame of mathematics, but Geometry sure is the pretty 
looking one. Now someone tell me there is a one to one correspondence between number 
theory and geometry... (I recall something about unification).